Asset price dynamics in a financial market with fundamentalists and chartists.
Chiarella, Carl, Dieci, Roberto, Gardini, Laura (2001)
Discrete Dynamics in Nature and Society
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Chiarella, Carl, Dieci, Roberto, Gardini, Laura (2001)
Discrete Dynamics in Nature and Society
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Armengol Gasull, Rafel Prohens (2000)
Extracta Mathematicae
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In this paper we give simple and low degree examples of one-parameter polynomial families of planar differential equations which present generic, codimension one, isolated, compact bifurcations. In contrast with some examples which appear in the usual text books each bifurcation occurs when the bifurcation parameter is zero. We study the total number of limit cycles that the examples present and we also make their phase portraits on the Poincaré sphere.
Ilhem, Djellit, Amel, Kara (2006)
Discrete Dynamics in Nature and Society
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Gaiko, Valery
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Kapitaniak, Tomasz, Lai, Ying-Cheng, Grebogi, Celso (1999)
Discrete Dynamics in Nature and Society
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De Carvalho Braga, Denis, Mello, Luis Fernando, Messias, Marcelo (2009)
Mathematical Problems in Engineering
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Paulo Ricardo Da Silva (1999)
Publicacions Matemàtiques
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M. A. Zaks, D. V. Lyubimov (1989)
Banach Center Publications
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Vadivasova, T.E., Sosnovtseva, O.V., Balanov, A.G., Astakhov, V.V. (2000)
Discrete Dynamics in Nature and Society
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Borisov, Milen, Dimitrova, Neli (2010)
Serdica Journal of Computing
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This paper presents two algorithms for one-parameter local bifurcations of equilibrium points of dynamical systems. The algorithms are implemented in the computer algebra system Maple 13 © and designed as a package. Some examples are reported to demonstrate the package’s facilities. * This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02–359/2008.